Solved UPSC CDS/OTA Question
A solved UPSC CDS/OTA PYQ — decoded step-by-step.
Solve it the standard way once — then learn the shortcut.
Q · LogarithmMedium · 45s
log₃₂₈ = ?
TopicLogarithm
Question Typemultiple choice
DifficultyMedium
Marking+1 / −0.33
Test Duration30 min
Step-by-Step Solution
The complete worked solution.
Every step explained — no skipped algebra.
log₃₂₈ = log₈/log₃₂ (By base change rule)
= 3log₂/5log₂ = 3/5.
Final Answer: Option B — 5/3